HARMONIC ANALYSIS

Course Information
TitleΑΡΜΟΝΙΚΗ ΑΝΑΛΥΣΗ / HARMONIC ANALYSIS
CodeΘ023
FacultySciences
SchoolMathematics
Cycle / Level2nd / Postgraduate
Teaching PeriodWinter/Spring
CoordinatorAnestis Fotiadis
CommonYes
StatusActive
Course ID600025912

Programme of Study: PMS Tmīmatos Mathīmatikṓn (2025-2030)

Registered students: 0
OrientationAttendance TypeSemesterYearECTS
THEŌRĪTIKA MATHĪMATIKAElective Courses belonging to the selected specializationSpring-10
Class Information
Academic Year2025 – 2026
Class PeriodSpring
Faculty Instructors
Weekly Hours3
Total Hours39
Class ID
600268422
Type Of Offer
  • Disciplinary Course
Course Type 2021
Specialization / Direction
Mode of Delivery
  • Face to face
  • Distance learning
Digital Course Content
Erasmus
The course is also offered to exchange programme students.
Language of Instruction
  • Greek (Instruction, Examination)
Prerequisites
General Prerequisites
Calculus of one and several variables
Learning Outcomes
Upon successful completion of the course, students will: 1. know the historical development of commutative algebra 2. know the theory of Fourier transfom 3. be able to prove some classical results in harmonic analysis
General Competences
  • Retrieve, analyse and synthesise data and information, with the use of necessary technologies
  • Adapt to new situations
  • Make decisions
  • Work autonomously
  • Work in teams
  • Generate new research ideas
  • Be critical and self-critical
  • Advance free, creative and causative thinking
Course Content (Syllabus)
Historical elements, the Fourier transform in L1, in L2 and in Lp, 1
Keywords
harmonic analysis, Fourier transform, spaces L1, L2 and Lp, 1
Educational Material Types
  • Notes
  • Slide presentations
  • Multimedia
  • Book
Use of Information and Communication Technologies
Use of ICT
  • Use of ICT in Course Teaching
  • Use of ICT in Communication with Students
  • Use of ICT in Student Assessment
Description
Use of computer program Mathematica, devoted to supporting research in mathematics. Online exercise hours.
Course Organization
ActivitiesWorkloadECTSIndividualTeamworkErasmus
Lectures 39
Reading Assigment183
Tutorial13
Project20
Written assigments40
Exams5
Total300
Student Assessment
Description
The final grade for this course will be calculated as follows: 1. Midterm: 30% 2. Final exam: 50%.
Student Assessment methods
  • Written Exam with Short Answer Questions (Formative, Summative)
  • Written Exam with Extended Answer Questions (Formative, Summative)
  • Written Assignment (Formative, Summative)
  • Performance / Staging (Formative, Summative)
Bibliography
Additional bibliography for study
Introduction to Fourier Analysis on Euclidean Spaces by Stein and Weiss Lectures on Harmonic Analysis by Wolff Methods of Modern Mathematical Physics by Reed and Simon Functional Analysis by Yosida
Last Update
16-05-2025